3040979760 has 640 divisors, whose sum is σ = 13119160320. Its totient is φ = 638254080.

The previous prime is 3040979731. The next prime is 3040979783. The reversal of 3040979760 is 679790403.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15921265 + ... + 15921455.

It is an arithmetic number, because the mean of its divisors is an integer number (20498688).

Almost surely, 2^3040979760 is an apocalyptic number.

3040979760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040979760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6559580160).

3040979760 is an abundant number, since it is smaller than the sum of its proper divisors (10078180560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3040979760 is a wasteful number, since it uses less digits than its factorization.

3040979760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3040979760 is about 55145.0792002333. The cubic root of 3040979760 is about 1448.7868981776.

The spelling of 3040979760 in words is "three billion, forty million, nine hundred seventy-nine thousand, seven hundred sixty".